CN103255691A - Method for determining tracks of arcs in road construction - Google Patents
Method for determining tracks of arcs in road construction Download PDFInfo
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- CN103255691A CN103255691A CN 201310192933 CN201310192933A CN103255691A CN 103255691 A CN103255691 A CN 103255691A CN 201310192933 CN201310192933 CN 201310192933 CN 201310192933 A CN201310192933 A CN 201310192933A CN 103255691 A CN103255691 A CN 103255691A
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Abstract
The invention discloses a method for determining tracks of arcs in road construction. The method comprises the following steps of: determining a reference value of a distance from a corner point of a road to a midpoint of an arc line for the design of a radius of turning circle, applying the reference to the determination of the track points of construction arc lines with the designed radii of turning circle within 10m, and applying the reference value to the determination of the track points of construction arc lines with the designed radii of turning circle greater than 10m. According to the method, the problem that the construction arc lines cannot be drawn by using center points due to obstacles when the arc lines with radii of turning circle prescribed by construction drawings are drawn on the sites in road construction can be solved.
Description
Technical field
The present invention relates to determine in a kind of road construction the method for arc track.
Background technology
In living area, plant area, town road work progress, the turning radius of putting road, namely Taoism draw magic figures or incantations closes the construction circular arc line of designing requirement size, runs into the house through regular meeting, the influence of obstruction such as mound, swag and adverse environment.Because road construction and paper upper drawing circle arc are two Conferences things, paper upper drawing circle arc can be fully according to mathematics and geometric theory, and is unrestricted, standard and accurately according to requiring the figure that draws.The design of the turning radius in the road construction, though with the circular arc theory direct relation is arranged, but can not be fully remove to determine the circular arc that adheres to specification according to the method on the books, employing is just very difficult with the circular arc of picture track road, center of circle turning radius, some ambient conditions is to determine the centre point position, maybe can determine the centre point position, but must not use that centre point, be aforesaid house, the restriction of obstructions such as mound, swag; So find a kind of suitable construction environment condition, simple to operate, the method for convenient construction is exactly the thing that road construction person look forward to.
Summary of the invention
The purpose of this invention is to provide in a kind of road construction the method for determining arc track, to solve in road construction fast, meet the problem of requirement of the turning radius circular arc line of design drawing regulation.Especially can solve the corner at road, the problem in the time of in practice of construction, can not finding or utilize desirable centre point to come picture construction circular arc line again.
Technical scheme is: determine the method for arc track in the road construction, comprise and determine that the road intersecting point is applied to design the determining of tracing point of the construction circular arc line of turning radius in 10 meters, a reference value is applied to design turning radius definite greater than the tracing point of the construction circular arc line more than 10 meters to a reference value of the distance of the mid point of the circular arc line of turning radius design, a reference value;
A,Determining of a reference value: when being 1 meter with turning radius, the road intersecting point to the distance of the mid point of the construction circular arc line that meets design as a reference value, be 0.5 meter circle by making a radius, remake the external square of this circle, draw a foursquare diagonal, obtaining cornerwise length is 1.414 meters; Deduct 1/2nd of value after 1 meter so obtain size between the summit of square drift angle and circular arc intersection point and be 1.414 meters, it is 0.207 meter, and then turning radius when being 1 meter, be of a size of 0.414 meter between the summit of square drift angle and circular arc intersection point, when turning radius is 1 meter integral multiple N, be of a size of 0.414N rice between the summit of this square drift angle and circular arc intersection point, when namely having found turning radius to be N rice, the point midway of construction circular arc line;
B,The turning radius that identifies when construction design drawing is R rice, and during less than 10 meters, choose two sideline L1, L2 that road intersecting point B intersects vertically to road last isometric two some A and C for R, 2 lines, find the mid point D of AC line segment, connect DB and become ray, the method that obtains with step a, be starting point with the B point, measuring the length along path that is of a size of the 0.414R multiple value to the D direction is BB
\Rice, B
\Selecting namely is that the turning radius of design drawing requirement is the mid point of the construction circular arc line of R rice, and two points in addition on the qualified circular arc line are exactly A point and C point, by B
\Point is drawn camber line to A and 2 of C respectively, and the turning radius that adheres to specification of namely drawing is the construction camber line of R;
C,When the turning radius numerical value of construction design drawing sign is Q, and greater than 10 meters and the time, longer because of circular arc line at this moment, must determine that the multiple spot on the circular arc line could setting-out; Concrete grammar is: according to the mode of step b, be starting point with road intersecting point O, choose M and S point at the two roads construction line L3 and the L4 that intersect vertically respectively, make OM=OS=Q, line MS, the MS line segment is divided into the even number section, be right angle ∠ MOS that the center line both sides respectively are divided into X sub-multiple angle that equates with the angular bisector namely, X-1 bar angular bisector except the line of two road simultaneously draws, obtain the number of degrees of each sub-multiple angle, calculate the cosine function value that gets a sub-multiple angle respectively by cosine again, the cosine function value of 2 times of sub-multiple angles, the cosine function value of 3 times of sub-multiple angles is to the cosine function value of the doubly individual sub-multiple angle of n, the mid point of circular arc line when turning radius is 1 meter that recycling step a obtains is 0.414 meter to corner summit length, with above-mentioned each corresponding limit of cosine function value of having calculated and the proportion expression on limit, when calculating 1 meter of turning radius, the intersection point of the construction circular arc line of each ray and plan picture is to the value of road corner vertex distance, obtain above-mentioned each is on duty with Q, the ray at each angle can be found and the intersection point of fixed construction circular arc line will be drawn to the size of road intersecting point, also just determined on the construction circular arc line position except M and 2 individual other places of X-1 of S, to connect with camber line between these points, do concrete the correction by the slyness requirement of circular arc line again, namely obtain meeting the construction circular arc line that the turning radius of demarcating on the design drawing is Q rice.
According to such scheme, when the circular arc line of the turning radius of the road corner that occurs in the road construction is difficult to draw the construction line with center of circle mode, can find the relevant tracing point of the circular arc line that adheres to specification faster, thereby effectively draw out the construction circular arc line at the construction field (site), guaranteed construction quality and speed.
Description of drawings
Fig. 1 is turning radius when being 0.5 meter, the locate mode schematic diagram of construction circular arc line mid point.
Fig. 2 is turning radius when being 4 meters, the locate mode instance graph of construction circular arc line mid point.
Fig. 3 is turning radius when being 25 meters, the locate mode schematic diagram of construction arc track point.
The specific embodiment
Below in conjunction with accompanying drawing, as embodiment, technical scheme is specified.
In town road or other work progress, the turning of road often marks the turning radius value on the construction drawing, in the environment of smooth accessible landform or clear, can use the method for determining centre point, the turning radius value backguy picture construction circular arc line that provides by design gets final product.But run into the house through regular meeting in the practice of construction, mound, swag etc. obstacle, adopt the circular arc line that requires with picture track road, center of circle turning radius very difficult, some ambient conditions must not be accomplished.Because can't determine centre point; Adopt the construction of following method, can find the position of the relevant tracing point of picture circular arc line, again according to these somes construction circular arc line that draws.
Determining of example one, benchmark matter.With reference to Fig. 1, make the circle of a radius R=0.5m, its circumscribed square ABCD is tangential on E, F, G, H 4 points with circle, according to known conditions with collude a strand law and get: be connected diagonal BD, meet at B with justifying
\Point, BD=(BC
2+ DC
2)
1/2=(1
2+ 1
2)
1/2=2
1/2=1.414.
So: 2BB
\=0.414m BB
\=0.207m.
When namely the turning radius R that requires when working design is 0.5m, BB
\=0.207m, when R is 1.0m, BB
\=0.414m, the reasoning turning radius R of the drawing requirement BB when being of a size of following integer value that obtains designing and constructing thus
\The contrast calculating formula of value is, when the turning radius R that requires when working design is n rice, and BB
\=n * 0.414m.Its computational process is as follows:
During R=0.5m, BB
\=0.207m,
During R=1.0m, BB
\=2 * 0.207m=0.414m,
During R=2.0m, BB
\=2 * 0.414m=0.828m,
During R=3.0m, BB
\=3 * 0.414m=1.242m,
During R=4.0m, BB
\=4 * 0.414m=1.656m,
During R=5.0m, BB
\=5 * 0.414m=2.070m,
During R=6.0m, BB
\=6 * 0.414m=2.484m,
During R=7.0m, BB
\=7 * 0.414m=2.898m,
During R=8.0m, BB
\=8 * 0.414m=3.312m,
During R=9.0m, BB
\=9 * 0.414m=3.726m,
When obtaining R=nm thus, BB
\=n * 0.414m.
It is BB to the distance of road intersecting point that above-mentioned definite turning radius arcuate midway point has been arranged
\The method of size after, find turning arc track position, a reference value of calculating has just been arranged.
Example two, with reference to Fig. 2, the sideline that design drawing provides two road intersections is L1 and L2, turning radius R=4.0m.Before the construction, the satisfactory circular arc line that must draw just can be done concrete construction.And the center of circle that meets the circular arc of this turning radius requirement is in the building 1 of residential neighborhoods, so it is exactly impossible will coming this circular arc line of picture with the center of circle at the construction field (site).Adopt aforesaid method, can determine the mid point of this construction circular arc line, the turning radius according to Design Requirement Drawing is 4.0m simultaneously, can find the tie point of circular arc line and road L1 and road L2.Three points on this circular arc line are just determined.Be that road L1 and road L2 corner are the B point, measure the distance of 4m respectively to the two road line from the B point, namely finding turning radius is that the circular arc line of 4m and the intersection point of road L1 and road L2 are A and C, and A point and C point line, the mid point D of this line can determine again; To D point line, measure BE=4 * 0.414m=1.656m at the BD line from the B point, the E point is that the turning radius of design drawing requirement is the mid point of the circular arc line of 4m.Like this, 3 on the circular arc line namely are determined, and the camber line that draws between these 3 gets final product.
The scope of application of the method is two road intersection form right angles or approximate right angle situation.As the T-shaped road, cross road when designing turning radius less than 10.0m, uses when determining circular arc line in the construction.
Example three, in the road turning radius during greater than 10.0m, even turning radius requires when 20.0m is above, in the practice of construction, adopts and determines that three strokes and dots circular arc lines just are difficult to accomplish requirement more accurately.
As Fig. 3, design drawing provides the sideline, two road and is respectively L3, L4, and L3 is perpendicular to L4, and the turning radius R of construction drawing regulation is 25.0m, the centre point of construction circular arc line is in a pool 2, and can't come the picture radius R from the centre point backguy is the circular arc line of 25.0m.At this moment, adopt following method to draw circular arc line:
Method of operating: measure BA=BC=25.0m respectively with invar tape on L3, L4, connect AC, measure the length of AC, be divided into 8 fens, namely AD=DE=EF=FG=GH=HI=IJ=JC connects BD, BE, BF, BG, BH, BI and BJ respectively; Because BA=BC=25.0m, and L3 ⊥ L4, so BG is the angular bisector of right angle ∠ ABC, ∠ GBH=11.25
o, ∠ GBI=22. 5
o, ∠ GBJ=33.75
o
Get according to trigonometric function: cos11.25
o≈ 0.981, cos22.5
o≈ 0.924, cos33.75
o≈ 0.831.
And set ray BD, BE, BF, BG, BH, BI, BJ and the construction circular arc line joining that will determine is respectively D
\, E
\, F
\, G
\, H
\, I
\, J
\, the method that obtains according to step 1: when R=1.0m, BG
\=0.414M.
BG
\/ BH
\=0.414/BH
\=0.981 obtains BH
\=0.422.
Same method can obtain BI
\=0.448, BJ
\=0.498.
When R=25.0m, BH
\=0.422 * 25=10.55m in like manner obtains BI
\=11.2m, BJ
\=12.45m, BG
\=10.35m, corresponding obtained BF
\=10.55m, BE
\=11.2m, BD
\=12.45m.
According to last calculated data, measure BH at ray BD, BE, BF, BG, BH, BI, BJ respectively with invar tape
\=10.55m, BI
\=11.2m, BJ
\=12.45m, BG
\=10.35m, BF
\=10.55m, BE
\=11.2m, BD
\=12.45m has namely found 9 points on the construction circular arc line, again A, D
\, E
\, F
\, G
\, H
\, I
\, J
,, 9 points between C are linked to be curve, i.e. the approximate circle camber line of manufacture bases.Do suitably to revise in construction, the turning radius that can reach the design drawing requirement is the concrete construction building of 25.0m.
Use the method, can solve the design turning radius is definite problem of the construction circular arc line of arbitrary dimension requirement.Though belong to the approximate circle camber line, those points are determined, suitably revise in the construction, make its building body circular arc line or arc surface smooth, do not have outstanding break or convex-concave.
Claims (1)
1. determine the method for arc track in the road construction, comprise and determine that the road intersecting point is applied to design the determining of tracing point of the construction circular arc line of turning radius in 10 meters, a reference value is applied to design turning radius definite greater than the tracing point of the construction circular arc line more than 10 meters to a reference value of the distance of the mid point of the circular arc line of turning radius design, a reference value;
A,Determining of a reference value: when being 1 meter with turning radius, the road intersecting point to the distance of the mid point of the construction circular arc line that meets design as a reference value, be 0.5 meter circle by making a radius, remake the external square of this circle, draw a foursquare diagonal, obtaining cornerwise length is 1.414 meters; Deduct 1/2nd of value after 1 meter so obtain size between the summit of square drift angle and circular arc intersection point and be 1.414 meters, it is 0.207 meter, and then turning radius when being 1 meter, be of a size of 0.414 meter between the summit of square drift angle and circular arc intersection point, when turning radius is 1 meter integral multiple N, be of a size of 0.414N rice between the summit of this square drift angle and circular arc intersection point, when namely having found turning radius to be N rice, the point midway of construction circular arc line;
B,The turning radius that identifies when construction design drawing is R rice, and during less than 10 meters, choose two sideline L1, L2 that road intersecting point B intersects vertically to road last isometric two some A and C for R, 2 lines, find the mid point D of AC line segment, connect DB and become ray, the method that obtains with step a, be starting point with the B point, measuring the length along path that is of a size of the 0.414R multiple value to the D direction is BB
\Rice, B
\Selecting namely is that the turning radius of design drawing requirement is the mid point of the construction circular arc line of R rice, and two points in addition on the qualified circular arc line are exactly A point and C point, by B
\Point is drawn camber line to A and 2 of C respectively, and the turning radius that adheres to specification of namely drawing is the construction camber line of R;
C,When the turning radius numerical value of construction design drawing sign is Q, and greater than 10 meters and the time, longer because of circular arc line at this moment, must determine that the multiple spot on the circular arc line could setting-out; Concrete grammar is: according to the mode of step b, be starting point with road intersecting point O, choose M and S point at the two roads construction line L3 and the L4 that intersect vertically respectively, make OM=OS=Q, line MS, the MS line segment is divided into the even number section, be right angle ∠ MOS that the center line both sides respectively are divided into X sub-multiple angle that equates with the angular bisector namely, X-1 bar angular bisector except the line of two road simultaneously draws, obtain the number of degrees of each sub-multiple angle, calculate the cosine function value that gets a sub-multiple angle respectively by cosine again, the cosine function value of 2 times of sub-multiple angles, the cosine function value of 3 times of sub-multiple angles is to the cosine function value of the doubly individual sub-multiple angle of n, the mid point of circular arc line when turning radius is 1 meter that recycling step a obtains is 0.414 meter to corner summit length, with above-mentioned each corresponding limit of cosine function value of having calculated and the proportion expression on limit, when calculating 1 meter of turning radius, the intersection point of the construction circular arc line of each ray and plan picture is to the value of road corner vertex distance, obtain above-mentioned each is on duty with Q, the ray at each angle can be found and the intersection point of fixed construction circular arc line will be drawn to the size of road intersecting point, also just determined on the construction circular arc line position except M and 2 individual other places of X-1 of S, to connect with camber line between these points, do concrete the correction by the slyness requirement of circular arc line again, namely obtain meeting the construction circular arc line that the turning radius of demarcating on the design drawing is Q rice.
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|---|---|---|---|
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Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN111736582A (en) * | 2019-03-19 | 2020-10-02 | 北京奇虎科技有限公司 | Path processing method and device, electronic equipment and computer readable storage medium |
| CN111765875A (en) * | 2020-07-13 | 2020-10-13 | 江苏东交智控科技集团股份有限公司 | Circular curve measuring and paying-off method |
-
2013
- 2013-05-23 CN CN 201310192933 patent/CN103255691A/en active Pending
Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN111736582A (en) * | 2019-03-19 | 2020-10-02 | 北京奇虎科技有限公司 | Path processing method and device, electronic equipment and computer readable storage medium |
| CN111765875A (en) * | 2020-07-13 | 2020-10-13 | 江苏东交智控科技集团股份有限公司 | Circular curve measuring and paying-off method |
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Application publication date: 20130821 |